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Finding the Fourth Proportional to 10,429.85, 14,393.31 and 5,954.20

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Solution

The fourth proportional to 10,429.85, 14,393.31 and 5,954.20 is: 8,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.85 : 14,393.31 = 5,954.20 : x
  2. Step 2: Convert to fraction form
    10,429.85/14,393.31 = 5,954.20/x
  3. Step 3: Cross multiply
    10,429.85x = 14,393.31 × 5,954.20
  4. Step 4: Simplify right side
    10,429.85x = 85,700,646.40
  5. Step 5: Solve for x
    x = 85,700,646.40/10,429.85
  6. Step 6: Final answer
    x = 8,216.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.